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The problem is asking for an approximation of the integral \(\int_0^{12} f(x) dx\) using the midpoint rule with six rectangles, denoted by \(M_6\).

### Midpoint Rule:
The midpoint rule for approximating an integral \(\int_a^b f(x) dx\) is given by:
\[
M_n = \sum_{i=1}^{n} f(\text{midpoint}_i) \cdot \Delta x
\]
where:


Draw six rectangles with sample points as midpoints (M6). Then use the six rectangles to approximate the value of the integral from 0 to 12 of f(x) dx.

Learn how to approximate the integral of f(x) from 0 to 12 using six rectangles and the midpoint rule. This method provides a numerical approach to calculating definite integrals. Suitable for high school students in Grades 10-12.

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